Question

graph the compound inequality
2 ≤ x ≤ 7
plot the endpoints. select an endpoint to change it from closed to open. select the
middle of a segment, ray, or line to delete it

Explanation:

Step1: Analyze the inequality

The compound inequality \(2\leq x\leq7\) means \(x\) is greater than or equal to \(2\) and less than or equal to \(7\).

Step2: Plot the endpoints

On the number - line, for \(x = 2\), we use a closed circle (because the inequality includes \(2\), i.e., \(x\geq2\)). For \(x = 7\), we use a closed circle (because the inequality includes \(7\), i.e., \(x\leq7\)).

Step3: Draw the segment

Connect the two closed - circle endpoints with a line segment to represent all the values of \(x\) that satisfy \(2\leq x\leq7\).

Answer:

Plot closed circles at \(x = 2\) and \(x = 7\) on the number - line and draw a line segment connecting them.